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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E59">Th55</font></span>: <a NAME="T55"><span class="comment"><font color="firebrick">:: GLIB_010:55</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G1</font>, <font color="Olive" title="b2">G2</font> being   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a><br/>  for <font color="Olive" title="b3">F</font> being   non  <a href="glib_010.html#V6" title="GLIB_010:attr.6">empty</a>   <a href="glib_010.html#M1" title="GLIB_010:mode.1">PGraphMapping</a> of <font color="Olive" title="b1">G1</font>,<font color="Olive" title="b2">G2</font> holds <br/> ( <font color="Olive" title="b3">F</font> is  <a href="glib_010.html#V7" title="GLIB_010:attr.7">total</a>  iff  <a href="glib_010.html#K8" title="GLIB_010:func.8">dom</a> <font color="Olive" title="b3">F</font> <a href="glib_000.html#R5" title="GLIB_000:pred.5">==</a> <font color="Olive" title="b1">G1</font> )</div></div>
